114448248 has 128 divisors (see below), whose sum is σ = 339840000. Its totient is φ = 35582976.

The previous prime is 114448247. The next prime is 114448277. The reversal of 114448248 is 842844411.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114448247) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 324040 + ... + 324392.

It is an arithmetic number, because the mean of its divisors is an integer number (2655000).

Almost surely, 2^114448248 is an apocalyptic number.

114448248 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 114448248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169920000).

114448248 is an abundant number, since it is smaller than the sum of its proper divisors (225391752).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

114448248 is a wasteful number, since it uses less digits than its factorization.

114448248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 466 (or 456 counting only the distinct ones).

The product of its digits is 32768, while the sum is 36.

The square root of 114448248 is about 10698.0487940559. The cubic root of 114448248 is about 485.5154444953.

The spelling of 114448248 in words is "one hundred fourteen million, four hundred forty-eight thousand, two hundred forty-eight".